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Description

Updated to 1960x1470 resolution when downloaded

Magnification in a 2D-slice of the four dimensional cubic parameter space using the standard parameterizing z -> z^3 - 3a^2 z + b, critical points z = +a (making the set M+) and z = -a (making the set M-).

*a_real = 0.05
*a_imag = #pixel (horizontal))
*b_real = 0
*b_imag = #pixel (vertical)

Both M+ and M- plotted in separate layers.

No filters or postprocessing.

Ultra Fractal, formula Cubic Parameterspace3 in the sp3-module written by my dear friend Stig Pettersson, Greenseng here at DeviantART. All his modules, as well as mine can be downloaded from here.

More info about Cubics can be found at my Cubic Tutorial and the "cubic" articles in my Chaotic series of fractal articles.

Below the parameter file. Play and have fun

ShadowsOfBudsOnTheVividPlanet {
fractal:
title="Shadows of Buds on the Vivid Planet" width=800 height=600
layers=2 credits="Ingvar Kullberg;6/25/2018"
layer:
caption="M-" opacity=50 method=multipass
mapping:
center=-0.36936525984215/1.151627636326 magn=501.56049
formula:
maxiter=50000 filename="sp3.ufm" entry="CubicParameterspace3"
p_PlottedPlane="5.(a-imag,b-imag)" p_M=M- p_SetBorders=no p_hide=yes
p_areal=0.05 p_aimag=0.0 p_breal=0.0 p_bimag=0.0 p_xrot=0.0
p_yrot=0.0 p_xrott=0.0 p_yrott=0.0 p_zrot=0.0 p_LocalRot=no
p_diff=no p_bailout=100.0 p_dbailout=1E-6
inside:
transfer=none
outside:
density=4 transfer=linear
gradient:
smooth=yes index=9 color=327680 index=40 color=15794175 index=52
color=655360 index=107 color=16769274 index=187 color=2445567
opacity:
smooth=no index=0 opacity=255
layer:
caption="M+" opacity=97 method=multipass
mapping:
center=-0.36936525984215/1.151627636326 magn=501.56049
formula:
maxiter=50000 filename="sp3.ufm" entry="CubicParameterspace3"
p_PlottedPlane="5.(a-imag,b-imag)" p_M=M+ p_SetBorders=no p_hide=yes
p_areal=0.05 p_aimag=0.0 p_breal=0.0 p_bimag=0.0 p_xrot=0.0
p_yrot=0.0 p_xrott=0.0 p_yrott=0.0 p_zrot=0.0 p_LocalRot=no
p_diff=no p_bailout=100.0 p_dbailout=1E-6
inside:
transfer=none
outside:
density=4 transfer=linear
gradient:
smooth=yes index=33 color=127 index=83 color=16638 index=133
color=65535 index=134 color=327679 index=183 color=12582910
index=228 color=16711551 index=283 color=16695296 index=333
color=16646144 index=383 color=4128768
opacity:
smooth=no index=0 opacity=255
}

Description

Updated to 1960x1470 resolution when downloaded

Magnification in a 2D-slice of the four dimensional cubic parameter space using the standard parameterizing z -> z^3 - 3a^2 z + b, critical points z = +a (making the set M+) and z = -a (making the set M-).

*a_real = 0.05
*a_imag = #pixel (horizontal))
*b_real = 0
*b_imag = #pixel (vertical)

Both M+ and M- plotted in separate layers.

No filters or postprocessing.

Ultra Fractal, formula Cubic Parameterspace3 in the sp3-module written by my dear friend Stig Pettersson, Greenseng here at DeviantART. All his modules, as well as mine can be downloaded from here.

More info about Cubics can be found at my Cubic Tutorial and the "cubic" articles in my Chaotic series of fractal articles.

Below the parameter file. Play and have fun

ShadowsOfBudsOnTheVividPlanet {
fractal:
title="Shadows of Buds on the Vivid Planet" width=800 height=600
layers=2 credits="Ingvar Kullberg;6/25/2018"
layer:
caption="M-" opacity=50 method=multipass
mapping:
center=-0.36936525984215/1.151627636326 magn=501.56049
formula:
maxiter=50000 filename="sp3.ufm" entry="CubicParameterspace3"
p_PlottedPlane="5.(a-imag,b-imag)" p_M=M- p_SetBorders=no p_hide=yes
p_areal=0.05 p_aimag=0.0 p_breal=0.0 p_bimag=0.0 p_xrot=0.0
p_yrot=0.0 p_xrott=0.0 p_yrott=0.0 p_zrot=0.0 p_LocalRot=no
p_diff=no p_bailout=100.0 p_dbailout=1E-6
inside:
transfer=none
outside:
density=4 transfer=linear
gradient:
smooth=yes index=9 color=327680 index=40 color=15794175 index=52
color=655360 index=107 color=16769274 index=187 color=2445567
opacity:
smooth=no index=0 opacity=255
layer:
caption="M+" opacity=97 method=multipass
mapping:
center=-0.36936525984215/1.151627636326 magn=501.56049
formula:
maxiter=50000 filename="sp3.ufm" entry="CubicParameterspace3"
p_PlottedPlane="5.(a-imag,b-imag)" p_M=M+ p_SetBorders=no p_hide=yes
p_areal=0.05 p_aimag=0.0 p_breal=0.0 p_bimag=0.0 p_xrot=0.0
p_yrot=0.0 p_xrott=0.0 p_yrott=0.0 p_zrot=0.0 p_LocalRot=no
p_diff=no p_bailout=100.0 p_dbailout=1E-6
inside:
transfer=none
outside:
density=4 transfer=linear
gradient:
smooth=yes index=33 color=127 index=83 color=16638 index=133
color=65535 index=134 color=327679 index=183 color=12582910
index=228 color=16711551 index=283 color=16695296 index=333
color=16646144 index=383 color=4128768
opacity:
smooth=no index=0 opacity=255
}